Day 4: Quiz 1 and Review

Honors Math 2

Unit 6: Probability

1. Your I-tunes card has enough for 3 of the 7 songs you want. In how many ways could you pick the songs?

2. We use 10 digits in our number system. How many 4-digit “numbers” can be formed if no digits are repeated ? (Zero is allowed in any position)

3. Confirm your answer to #2 using the Fundamental Counting Principle.

4. Bad Frog Yogurt lets you pick 4 or fewer toppings from 40 choices and save 50 cents off of your order. How many ways can you get the savings?

5. Create a tree diagram to show the sample space for flipping a coin four times.

6. Using your answer to #5, what is the probability that all four “flips” are heads?

Warm-up

Practice: on notebook paper!!There are 100 people in an office.

• *5 people have a dog, a cat, and a hamster.

• *60 people own a dog.

• *13 people own a dog and a cat.

• *17 people own a dog and a hamster.

• *0 people own ONLY a hamster and a cat.

• *20 people own hamsters

• *31 people own a cat

1. Fill in the Venn diagram.

2. How many people in this office own no cats, dogs, or hamsters?

3. In how many ways can you create a bag by picking from 5 colors, 3 straps, and 7 buckles?

4. In how many ways can you rearrange the word GEOMETRY?

5. In how many ways can you select 6 puzzles from a set of 20?

Dog Cat

Hamster

1. Your I-tunes card has enough for 3 of the 7 songs you want. In how many ways could you pick the songs?

2. We use 10 digits in our number system. How many 4-digit “numbers” can be formed if no digits are repeated ? (Zero is allowed in any position)

3. Confirm your answer to #2 using the Fundamental Counting Principle.

4. Bad Frog Yogurt lets you pick 4 or fewer toppings from 40 choices and save 50 cents off of your order. How many ways can you get the savings?

Warm-up

7C3 = 35

10x9x8x7=5,040

10P4=5,040

40C4+40C3+40C2+40C1+40C0=102,091

91,390+9,880+780+40+1=102,091

5. Create a tree diagram to show the sample space for flipping a coin four times.

6. Using your answer to #5, what is the probability that all four “flips” are heads?

Warm-up

1/16= 6.25%

Homework Answers

1. a

b. (.55)(.60) = .33 33%c. (.45)(.30) = .135 13.5%d. (.55)(.6) + (.45)(.70) = 0.645 64.5%

0.45 * 0.30= 0.135

0.55 * 0.60= 0.33

0.55 * 0.40= 0.22

0.45 * 0.70= 0.315

Not Competitive

Sport

CompetitiveSport

CompetitiveSport

Not Competitive

Sport

Female

Male

Survey

0.30

0.70

0.40

0.60

0.55

0.45

Homework Answers

2. a

b. (.5)(.65) = 0.325 32.5%c. (.5)(.25) + (.5)(.35) = 0.30 30%d. (.5)(.25) = 0.125 12.5%

0.50 * 0.35= 0.175

0.50 * 0.75= 0.375

0.50 * 0.25= 0.125

0.50 * 0.65= 0.325

Not Like Hockey

Like Hockey

Like Hockey

Not Like Hockey

Male

Female

Survey

0.35

0.65

0.25

0.75

0.50

0.50

Homework Answers1. 4/9

2. 2/9

3. 7/48

4. 1/20

5. 1/6

6. 1/221

7. b. (8/12)(7/11) = 14/33

8. a. (.5)(.14) = .07 7%

b. (.5)(.86) + (.5)(.83) = .845 84.5%

c. 83/169 = 49.1%

d. 83%

7. a

4/12 * 3/11

= 1/11

8/12 * 7/11

= 14/33

8/12 * 4/11

= 8/33

4/12 * 8/11

= 8/33

Black in Bathroom

Brown in Bathroom

Brown in Bathroom

Black in Bathroom

Brown by Front Door

Black by Front Door

Puppy taking shoes!

3/11

8/11

4/11

7/11

8/12 = 2/3

4/12 = 1/3

Male FemaleRight-handed 86 83Left-handed 14 17Total 100 100

1) 1/3, -1/2 2) 3.8039

3) mSRQ = 140° 4) 74 units

5) a) b) $12 c) 96 students

6) a) y = 1.10x2– 30.49x + 890.03

b) 790.61 points c) 1984, 2003

7) a) b)

8)

HW Answers: Cumulative Review

2400t

x

343 3ky y5 7

4 43 ky

3 3

2

Cumulative Review Handout#10-15, 22-26

-> Write this on your outline

Try ALL the problems!! Look back at old notes, warm-ups, ppts, etc.

Keep studying formulas and vocabulary for the quiz and test!

TONIGHT’S HOMEWORK

Practice: on notebook paper!!There are 100 people in an office.

• *5 people have a dog, a cat, and a hamster.

• *60 people own a dog.

• *13 people own a dog and a cat.

• *17 people own a dog and a hamster.

• *0 people own ONLY a hamster and a cat.

• *20 people own hamsters

• *31 people own a cat

1. Fill in the Venn diagram.

2. How many people in this office own no cats, dogs, or hamsters?

3. In how many ways can you create a bag by picking from 5 colors, 3 straps, and 7 buckles?

4. In how many ways can you rearrange the word GEOMETRY?

5. In how many ways can you select 6 puzzles from a set of 20?

Dog Cat

Hamster

Practice: on notebook paper!!There are 100 people in an office.

• *5 people have a dog, a cat, and a hamster.

• *60 people own a dog.

• *13 people own a dog and a cat.

• *17 people own a dog and a hamster.

• *0 people own ONLY a hamster and a cat.

• *20 people own hamsters

• *31 people own a cat

1. Fill in the Venn diagram.

2. How many people in this office own no cats, dogs, or hamsters?

3. In how many ways can you create a bag by picking from 5 colors, 3 straps, and 7 buckles?

4. In how many ways can you rearrange the word GEOMETRY?

5. In how many ways can you select 6 puzzles from a set of 20?

Dog Cat

Hamster

512

3

1835 8

0

19

19

5 x 3 x 7 = 105 8! = 201602!

20C6 = 38760

Practice: Review for Quiz1. You are creating a schedule for chores at camp this summer.

Each day, you need a team to clean the kitchen, three teams to clean bathrooms, and two teams to clean floors. Only certain teams are trained for each task. In how many ways can you select the chores for the day from a set of 2 kitchen, 7 bathroom, and 8 floor cleaning groups?

2. In how many ways can you choose at most three problems from a set of eight problems to complete?

3. You have 5 red, 2 green, and 3 blue oven mitts. What is the probability that you select a pair of matching red oven mitts?

4. You have 5 red, 2 green, and 3 blue oven mitts. What is the probability that you select a red oven mitt, but then return it and select a blue one?

5. You are leading an art assignment in your class of 24 students. In how many ways can you display 4 art pieces in a row on the board?

Practice: Review for Quiz1. You are creating a schedule for chores at camp this summer.

Each day, you need a team to clean the kitchen, three teams to clean bathrooms, and two teams to clean floors. Only certain teams are trained for each tasks. In how many ways can you select the chores for the day from a set of 2 kitchen, 7 bathroom, and 8 floor cleaning groups?

2. In how many ways can you choose at most three problems from a set of eight problems to complete?

8C3 + 8C2 + 8C1 + 8C0 = 93 Combination because choosing a collection so order does not matter, and you can’t repeat items.

2C1 • 7C3 • 8C2 = 1,960Kitchen Bathrooms Floors

Use counting principle because choose kitchen team, bathroom teams, and floor teams to make 1 overall cleaning team for the day.

Practice: Review for Quiz3. You have 5 red, 2 green, and 3 blue oven mitts. What is

the probability that you select a pair of matching red oven mitts?

4. You have 5 red, 2 green, and 3 blue oven mitts. What is the probability that you select a red oven mitt, but then return it and select a blue one?

5. You are leading an art assignment in your class of 24 students. In how many ways can you display 4 art pieces in a row on the board?

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𝟏𝟎∙𝟒

𝟗=𝟐𝟎

𝟗𝟎=𝟐

𝟗

𝟓

𝟏𝟎∙𝟑

𝟏𝟎=

𝟏𝟓

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24P4 = 255,024 Permutation because you are displaying them in a row, so there is an order, and you can’t repeat items.

Cumulative Review Handout #10-15, 22-26

-> Write this on your outline

Try ALL the problems!! Look back at old notes, warm-ups, ppts, etc.

Keep studying formulas and vocabulary for the quiz and test!

TONIGHT’S HOMEWORK